Definition

Noun: - The branches of mathematics that study and develop the principles of mathematics for their own sake rather than for their immediate usefulness. This field is driven by intellectual curiosity and the internal logic of mathematical structures, without primary concern for practical application.

Usage

• Pure mathematics is often contrasted with applied mathematics. It explores abstract concepts and proofs to expand fundamental knowledge.
• It is typically used as an uncountable noun referring to the collective discipline.

Examples

Advanced Usage

• The term can be used attributively (like an adjective) to describe related concepts.
• The phrase "for its own sake" is commonly associated with the motivation behind pure mathematics.

Variants and Related Words

• Pure mathematician (noun): A person who specializes in pure mathematics.
• Applied mathematics (noun): The branch of mathematics concerned with mathematical methods used in science, engineering, and other practical applications. This is the direct conceptual counterpart to pure mathematics.

Synonyms

• Abstract mathematics: Emphasizes the theoretical and non-applied nature.
• Theoretical mathematics: Highlights the focus on theory and proof development.

Related Phrases

• "Mathematics for its own sake": A phrase that captures the essence of pure mathematics.

Noun

1. the branches of mathematics that study and develop the principles of mathematics for their own sake rather than for their immediate usefulness